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otez555 [7]
4 years ago
6

Find the congruence transformation that maps ∆ABC to ∆A’B’C’. Explain your reasoning

Mathematics
1 answer:
aalyn [17]4 years ago
7 0
To flip any of the points to map up correctly to the other points, you would have to do a reflection over the y-axis. The reasoning for this is because you cannot dilate your shape because it won't map over correctly. A translation will not work, mainly because the shape still needs to flip. A rotation will also not work because when you rotate it, the shape will still not map over your new one. 

-So your answer to this question would be that only a Reflection over the y-axis will allow the two shapes to map over each other correctly.
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If 2/x+ 3/y =13 and 5/x- 4/y = -2, then x+y equals
creativ13 [48]

Answer:

x + y =  \frac{5}{6}

Step-by-step explanation:

Let:

u =  \frac{1}{x}  \\ v =  \frac{1}{y}

This allows us to manipulate the equations like we normally would.

2u + 3v = 13 \\ 5u - 4v =  - 2 \\  \\   + 8u + 12v = 52 \\  + 15u - 12v =  - 6 \\ 23u = 46 \\ u = 2 \\  \\ 2(2) + 3v = 13 \\ 4 + 3v = 13 \\ 3v = 9 \\ v = 3

Then, we return the values where they belong.

u =  \frac{1}{x}  \\ 2 =  \frac{1}{x}  \\ x =  \frac{1}{2}  \\  \\ v =  \frac{1}{y}  \\ 3 =  \frac{1}{y}  \\ y =  \frac{1}{3}

Finally, we add:

\frac{1}{2}  +  \frac{1}{3}  =  \frac{3}{6}  +  \frac{2}{6}  =  \frac{5}{6}

7 0
3 years ago
The sum of one and the product of a number and two is thirteen
VLD [36.1K]

Answer:

1+2x=13

Step-by-step explanation:

the sum of= +

one=1

products of a number and 2= 2x

equals= =

thriteen=13

Put them all together:

1+2x=13

8 0
3 years ago
X^2-y^2=3y in polar form
Assoli18 [71]

Answer:

Step-by-step explanation:

put x=r cos θ

y=r sin θ

r²cos²θ-r²sin²θ=3rsin θ

r²(cos²θ -sin²θ)=3r sin θ

r²cos 2θ=3rsinθ

r cos 2θ=3 sin θ

r=3sec 2θ sin θ

5 0
3 years ago
How long must a ladder be to reach the top of 20” wall if the ladder and the wall form a 32 angle at the top
Ann [662]

Answer:  23.58

<u>Step-by-step explanation:</u>

cos\theta=\dfrac{adjacent}{hypotenuse}\\\\\\cos(32^o)=\dfrac{20}{x}\\\\\\x=\dfrac{20}{cos(32^o)}\\\\\\x=23.58

7 0
3 years ago
Read 2 more answers
What is the answer to the 24.5 question?
11Alexandr11 [23.1K]
3.5 , 7 , 10.5 , 14 , 17.5 , 21 , 24.5 . Because it increases by 3.5 each time
6 0
4 years ago
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